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10405220352 = 2123846779
BaseRepresentation
bin10011011000011001…
…10001000000000000
3222212011020221221120
421230030301000000
5132302214022402
64440255552240
7515564625252
oct115414610000
928764227846
1010405220352
11445a52606a
12202482b680
13c9a938c27
14709cc5cd2
1540d7533bc
hex26c331000

10405220352 has 52 divisors (see below), whose sum is σ = 27743899920. Its totient is φ = 3468402688.

The previous prime is 10405220347. The next prime is 10405220359. The reversal of 10405220352 is 25302250401.

It is a super-2 number, since 2×104052203522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10405220359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 411102 + ... + 435677.

Almost surely, 210405220352 is an apocalyptic number.

10405220352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10405220352 is an abundant number, since it is smaller than the sum of its proper divisors (17338679568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10405220352 is an frugal number, since it uses more digits than its factorization.

10405220352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846806 (or 846784 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 10405220352 its reverse (25302250401), we get a palindrome (35707470753).

The spelling of 10405220352 in words is "ten billion, four hundred five million, two hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288 846779 1693558 2540337 3387116 5080674 6774232 10161348 13548464 20322696 27096928 40645392 54193856 81290784 108387712 162581568 216775424 325163136 433550848 650326272 867101696 1300652544 1734203392 2601305088 3468406784 5202610176 10405220352